BACKGROUND OF THE INVENTION
[0001] The technical field of this invention is magnetometry and, in particular, the nondestructive
electromagnetic interrogation of materials of interest to deduce their physical properties
and to measure kinematic properties such as proximity. The disclosed invention applies
to both conducting and magnetic media.
[0002] Conventional application of magnetometers, specifically eddy current sensors, involves
the excitation of a conducting winding, the primary, with an electric current source
of prescribed temporal frequency. This produces a time-varying magnetic field at the
same frequency. The primary winding is located in close proximity to the material
under test (MUT), but not in direct contact with the MUT. This type of nondestructive
electromagnetic interrogation is sometimes called near field measurement. The excitation
fields and the relevant spatial and temporal variations of those fields are quasistatic.
The magnitude and phase (or the real and imaginary parts) of the impedance measured
at the terminals of the primary winding (ie., the measured voltage at the primary
winding terminals divided by the imposed current) or the transimpedance (i.e., the
voltage measured at a secondary winding terminal divided by the imposed current in
the primary winding) is used to estimate the MUT properties of interest.
[0003] The time-varying magnetic field produced by the primary winding induces currents
in the MUT that produce their own magnetic fields. These induced fields have a magnetic
flux in the opposite direction to the fields produced by the primary. The net result
is that conducting MUTs tend to exclude the magnetic flux produced by the primary
windings. The measured impedance and transimpedance at the terminals of the sensor
windings are affected by the following: the proximity to the MUT, the physical properties
(e.g., permeability and conductivity) of the MUT and the spatial distribution of those
properties: the geometric construct of the MUT; other kinematic properties (e.g.,
velocity) of the MUT; and the existence of defects (e.g., cracks, corrosion, impurities).
[0004] The distribution of the currents induced within conducting MUTs and the associated
distribution of the magnetic fields in the MUT, in the vicinity of the MUT, and within
the conducting primary and secondary windings are governed by the basic laws of physics.
Specifically, Ampere's and Faraday's laws combined with Ohm's law and the relevant
boundary and continuity conditions result in a mathematical representation of magnetic
diffusion in conducting media and the Laplacian decay of magnetic fields. Magnetic
diffusion is a phenomena that relates the distribution of induced currents in conducting
materials to the distribution of the imposed and induced magnetic fields. Laplacian
decay describes the manner in which a magnetic field decays along a path directed
away from the original field source.
[0005] Magnetometers, such as eddy current sensors, exploit the sensitivity of the impedance
or transimpedance (measured at the sensor winding terminals) to the physical and geometric
properties of the MUT. This is sometimes accomplished by using multiple temporal excitation
frequencies. As the primary winding excitation frequency is increased, the currents
in a conducting MUT exclude more and more flux until all the induced currents in the
MUT are confined to a thin layer near the surface of the MUT. At frequencies for which
the induced currents are all at the surface of the MUT, the MUT can be represented
theoretically as a perfect conductor. In other words, at high enough frequency, variations
in the conductivity of the MUT will no longer affect the impedance or transimpedance
measured at the sensor windings.
[0006] This effect has been used in proximity measurement relative to a conducting media.
Measurement of proximity to a metal surface is possible at a single excitation frequency,
if that frequency is high enough that the MUT can be treated as a perfect conductor.
For proximity measurement at lower frequencies, it is necessary to account for the
effects of the conductivity of the MUT on the measured impedance, either by physical
modeling or by calibration.
[0007] In applications requiring the measurement of conductivity, it is necessary to operate
at frequencies low enough that the measurements at the terminals of the conducting
windings are sensitive to the MUT conductivity. Such applications include the monitoring
of aging in conducting media, as well as the direct measurement of conductivity for
quality monitoring in metal processing and manufacturing process control. For example,
the accurate measurement of the case depth (e.g., the thickness of a heat-affected
zone at the surface of a metal after heat treatment) requires a sensor winding geometry
and excitation conditions (e.g., frequency, proximity to the MUT) that produce the
required sensitivity to the conductivity and thickness of the heat-affected zone.
[0008] Two methods are available for determining the desired conditions: (1) experimentation
and calibration, and (2) physical modeling and response prediction from basic principals.
In practice, each of these techniques has met with some success. The principal limitations
of experimentation and calibration are the need for fabrication of expensive calibration
test pieces (standards) for each new application, the relatively small dynamic range
(i.e., the small range of permissible MUT property variations over which the measurement
specifications can be met), and the inaccuracies produced by variation in uncontrolled
conditions such as temperature and lift-off errors.
[0009] The principal limitations of the physical modeling approach are the inaccuracies
introduced by modeling approximations and the existence of unmodeled effects. These
limitations are most severe for sensor winding constructs that are not specifically
designed to minimize unmodeled effects.
[0010] In spite of these limitations, the successful use of conducting windings driven by
a current source, as in eddy current sensors, to measure physical and kinematic properties
has been widely demonstrated.
[0011] For example, eddy current sensors have been used to measure the thickness of conducting
strips of known conductivity, as disclosed in Soviet Patents 578,609 and 502,205.
Eddy current sensors have also been used for flaw detection, as disclosed in U.S.
Pat. No. 3,939,404. Other eddy current sensor applications include measurement of
the conductivity-thickness product for thin conducting layers, measurement of the
conductivity of conducting plates using calibration standards, and measurement of
proximity to conducting layers. Such sensors are also used in proximity measurement
for control of machines and devices.
[0012] The ability to resolve distributions of parameters and properties of different layers
in multi-layered materials has been addressed in U.S. Pat. No. 5,015,951. The referenced
patent introduced the concept of multiple wavenumber magnetic interrogations of the
material of interest, by imposing several different spatial magnetic field excitations,
using multiple preselected sensor winding constructs, each with a different wavelength.
SUMMARY OF THE INVENTION
[0013] It is recognized that there is a need for measurement methods that provide estimates
of the actual physical properties of the MUT. Current techniques often measure "effective"
properties that are only indirectly related to the actual physical properties (e.g.,
permeability and conductivity at a specified excitation frequency). These "effective"property
measurements often provide insufficient characterization of the MUT. For example,
multiple temporal excitation frequencies are often used to obtain estimates of conductivity
or permeability. This is not acceptable if these physical properties vary with temporal
excitation frequency. In applications such as monitoring of aging and fatigue in ferrous
and nonferrous metal alloys, it may be necessary to completely characterize the dispersive
properties of the MUT, including the variations of conductivity and permeability with
temporal excitation frequency. Patents 5,015,951; 5,453,689; and 5,629,621 describe
methods for such dispersive property measurement. However, the robustness of these
earlier improvements is limited by the presence of unmodeled sensor and material behavior.
There is a need for methods and sensors that can provide accurate and reproducible
measurement of absolute properties without using conductivity or crack calibration
standards. This will reduce errors caused by variations in sensor placement (e.g.,
lift-off) during calibration, variations in calibration standard properties that are
uncontrolled, and human error.
[0014] Another enhancement that would extend the measurement performance capability of magnetometers
is the ability to calibrate in air. This calibration accounts for instrument drift
and unmodeled sensor behavior, which includes cable capacitance variations and manufacture
or service created probe-to-probe variations. Often, variability in the manufacture
of a given probe design is significant enough to require calibration on standards
that have material properties and shape similar to the material under test. The ability
to calibrate in air eliminates the inherent limitations of these standards. Other
advantages include a reduced opportunity for human error in the selection of the property
standards, self-consistently accounting for temperature variation since the calibration
is not dependent upon any temperature variations in the standards, and self-consistently
removing frequency-to-frequency variations without corrupting the calibration through
the use of non-uniform reference standards. These advantages of an air calibration
capability can lead to improved robustness and reproducibility of the measurements,
reduced costs with the elimination of logistics issues for standards, and the capability
for robust, self-consistent component-to-component comparisons with trend analysis.
[0015] It is desired to have magnetometers that can robustly provide absolute measurements
of the material properties with minimal calibrations. In particular it is desired
to have a sensor that does not require an extensive set of training or reference parts
for calibration, that may also be required to have the same shape as the component
to be tested. This can be accomplished with a sensor that is designed to minimize
unmodeled parasitic effect so that only the response of the sensor to an insulating
nonmagnetic material such as air can provide the necessary calibration information.
While previous sensor designs did support "air calibration," this invention introduces
several new improvements. Design modifications to the sensor that minimize the unmodeled
effects include altering the layout for the primary and secondary windings, utilizing
an equivalent circuit model to account for the parasitic effects on the sensor response,
and constructing electrical instrumentation that can extend the dynamic range of the
sensor.
[0016] In one embodiment, dummy secondary elements are located at the ends of the primary
winding meanders to help maintain the periodicity of the magnetic field as viewed
by the end sensing elements. This adds to the inclusion of an extra "meandering" at
the ends of the primary as described in U.S. Patent Application No. 08/702,276 entitled,
"Meandering Winding Test Circuit," filed August 23, 1996 by Goldfine et al. which
issued on August 11, 1998 as U.S. Patent No. 5,793,206. These "dummy secondary" elements
consist of single etched leads that are slightly longer than the lengths of the actual
secondary elements, and are introduced to match the periodicity of the mode. Alternative
embodiments include making the dummy elements identical in shape and layout to the
actual secondary elements, except the leads to the dummy elements are not added so
that the dummy loops are not closed. These dummy elements match the periodicity of
the actual secondary elements.
[0017] Another improvement is the setting back of the sensing element from the connecting
portions of the primary winding by one-quarter to one-half of a wavelength. This setting
back assures that less than 10% (depending on the number of meandering and height
of the sensing element) of the total magnetic flux linked by the sensing element is
attributed to the current flowing through the connecting element. The increasing of
the setback distance reduces the linked flux from the connecting elements.
[0018] Minimizing the distance between secondary winding leads outside of the main footprint
area of the windings is another improvement. This reduces stray coupling of unmodeled
magnetic flux to the secondary elements. The shouldering of the sensing elements and
keeping a close distance between the leads over the remaining distances to the edge
of the sensor is a preferred embodiment.
[0019] Grouping of secondary elements provides an imaging capability across the footprint
of the sensor. In one embodiment, which is not part of the present invention, the
pixels are overlapping in a manner suitable for continuous monitoring of the movement
of an edge of material across the sensor. This can also be accomplished in an embodiment
which is not part of the present invention, with non-overlapping pixel elements. In
this embodiment, which is not part of the present invention, a pixel includes combining
together secondary sensing elements from both sides of the primary winding. Such sensors
are well suited for both surface scanning "contact and non-contact" and permanent
surface mounted or imbedded sensor applications.
[0020] Another improvement which is not part of the present invention, is the use of additional
sensing elements which allow for detecting the edge of the material under test. One
embodiment that accomplishes this function has a smaller number of secondary elements
near the edges of an array connecting together. Another embodiment provides an output
from each individual secondary element so that the pixel size is minimized.
[0021] Increasing the gap between sensing elements and drive elements reduces coupling of
shorter wavelength modes and increases the depth of sensitivity for the sensor. One
of the objectives of the meandering winding sensor construction was to create a spatially
periodic magnetic field that could couple into the material under test. With any sensor
that has discrete dimensions for the windings, higher order spatial modes than the
fundamental mode will also be created. The effects of these higher order modes on
the response of the sensor can be reduced by increasing the gap between the sensing
elements and the drive elements.
[0022] Utilizing an equivalent circuit model for the response of the sensor allows for the
determination of a scale factor and parasitic impedance, as necessary, that compensate
for probe-to-probe variability, drift in the electronic instrumentation, and varying
connector cable lengths. This is accomplished through the use of measurements of the
sensor response in air, measurements of the response of shunt probes that have the
leads to the secondary elements severed and shorted together, and, in some instances,
reference parts.
[0023] Reconfiguring the placement of the electronics and the probe structure leads to more
robust and repeatable property measurements. Moving a significant portion of the instrumentation
electronics as close as possible to the sensor head provides independently controllable
amplification of the measurement signals which reduces the effects of the connector
cables. This may involve splitting the electronics between the probe housing and a
remote instrument model (RIM) or satellite box placed between the probe and the data
acquisition system. In addition, using fixturing and molded structures to rigidly
hold the shielding and wiring in place prevents movement of the shielding and wiring
after calibration, thus reducing the unmodeled changes in the sensor behavior.
[0024] In scan mode, the improved sensor provides the same response (conductivity change)
in response to a discrete anomaly at any place in the footprint. The sharpness of
the "sensor edge" determines the spatial resolution of a scanned image. Moving an
array back and forth by only the width of the footprint of the smallest group of sensing
elements, permits substantial improvement of the conductivity (or crack) image resolution.
Designing the sensor windings to provide the "sharpest edge" is the key. The width
of this edge is the limiting factor in determining image resolution.
[0025] Sensing elements can be connected either individually or in differential mode where
their signals are subtracted. Including one absolute (individual) connection in an
array format with several differential elements permit the robustness (e.g., lift-off
compensation) of absolute sensing and the improved sensitivity (amplification) possible
with differential measurements. This eliminates the need to control lift-off at each
element. Lift-off can vary from element to element and is simply measured at each
element using measurement grids.
[0026] The ability to absolutely measure lift-off over a wide lift-off range supports the
determination of an object's shape. For example, when scanning a cylinder, the sensor
might be fixed at a given radius and scanned around the circumference. The variations
in lift-off measured by the sensor might then be used to determine the actual shape
of a cylindrical part.
[0027] If absolute properties can be measured with calibration in air only, then correlation
standards can be used to relate the absolute properties (e.g., conductivity) to other
properties such as shotpeen intensity, residual stress, temperature, hardness, or
crack depth. The correlation standards can be simple flat standards, if the absolute
measurements are performed accurately over a wide lift-off range using a conformable
eddy current sensor.
BRIEF DESCRIPTION OF THE DRAWINGS
[0028] The foregoing and other objects, features and advantages of the invention will be
apparent from the following more particular description of preferred embodiments of
the invention, as illustrated in the accompanying drawings in which like reference
characters refer to the same parts throughout the different views. The drawings are
not necessarily to scale, emphasis instead being placed upon illustrating the principles
of the invention.
FIG. 1 is a flowchart of an instrument and a material under test. Various components
of the instrument are shown schematically;
FIG. 2 shows a measurement grid resulting from use of the instrumentation;
FIG. 3A is a front view of a sensor with a meandering primary winding and a plurality
of sensing elements. The sensing elements are connected in two groups. A pair of dummy
sensing elements are formed within the final half wavelength of the primary winding;
FIG. 3B is a scan across a fatigued part using the sensor of FIG. 3A;
FIG. 4 is a sensor similar to that shown in FIG. 3A wherein each grouping has four
sensing elements, in contrast to each having five sensing elements;
FIG. 5 illustrates a sensor not in accordance with the invention having a meandering
primary winding with eleven (11) groups of sensing elements. The sensing elements
on one side are overlapped/intertwined with sensing elements of two groups of the
other side;
FIG. 6 is a front view of a sensor with a meandering primary winding and having a
sensing elements grouped into groups of two or three individual sensing, secondary,
elements which are not overlapped;
FIG. 7 is a front view of an alternative sensing element and meandering primary winding
having a secondary array with connections to each individual secondary array;
FIG. 8 is a schematic of the instrument, and a material under test. The instrument
includes a multiplexer near the sensors that provide both differential and absolute
connections of the sensing elements for an array;
FIG. 9A is a schematic of a circuit for the sensor primary winding for use in modeling
to compensate for cable loading effects;
FIG. 9B is a schematic of a circuit for the sensor secondary winding for use in modeling
to compensate for parasitic and cable loading effects;
FIG. 10B is a schematic top view of a sensor with offset sensing element on one side
connected individually. The elements on the opposite side of the meandering primary
are grouped or connected individually;
FIG. 11 is a graph measurement grid of lift off and conductivity for ferrous metal;
FIG. 12 is a grid selectivity graph of conductivity versus lift-off for the grid of
FIG. 11;
FIG. 13 is a lift-off sensitivity graph of conductivity versus lift-off for the grid
of FIG. 11;
FIG. 14 is a conductivity sensitivity graph with parameters of conductivity versus
lift-off for the grid of FIG. 11;
FIG. 15 is a graph of selectivity versus gap for the parameters listed on the graph;
FIG. 16 is a graph of conductivity sensitivity versus gap for the parameters listed
on the graph;
FIG. 17 is a graph of H sensitivity versus gap for the parameters listed on the graph;
FIG. 18 is a graph of Normalized Magnitude versus gap for the parameters listed on
the graph;
FIG. 19 is a schematic of the process for measuring properties of the material under
test;
FIG. 20 illustrates an improved MWM probe design with a removable foam sensor tip;
FIG. 21A is a plot of the relative change in the magnitude of the voltage signal as
the primary to secondary distance and noise level in the measurement are varied;
FIG. 21B is a plot of the relative change in the phase of the voltage signal as the
primary to secondary distance and noise level in the measurement are varied; and
FIG. 21C is a plot of the optimum primary to secondary distance as the noise level
of the measurement is varied.
DETAILED DESCRIPTION OF THE INVENTION
[0029] It is a desire to measure properties of a material such as (1) porosity of thermal
spray coatings, (2) fatigue in stainless steel, (3) plastic deformation in aluminum
and titanium, (4) temperature, (5) surface roughness, (6) plastic deformation, (7)
fatigue damage, and (8) corrosion. It has been shown that electrical conductivity
of the material varies with these properties. See paper entitled, "Surface-Mounted
Eddy-Current Sensors for On-Line Monitoring of Fatigue Tests and for Aircraft Health
Monitoring" by Goldfine, Schlicker, and Washabaugh, presented at the Second Joint
NASA/FAA/DoD Conference on Aging Aircraft in August 1998 and a paper entitled, "Conformable
Eddy Current Sensors and Methods for Gas Turbine. Inspection and Health Monitoring"
by Goldfine, Washabaugh, Walrath, Zombo, and Miller, presented at the ASM Gas Turbines
Technology Conference in October 1998. By producing and introducing into the material
under test an electromagnetic quasistatic field and detecting (sensing) the resulting
field, properties of the material, including those listed above, can be determined
by conducting analysis as described below.
[0030] It is recognized that the better the sensor and material are modeled, the more accurate
and quickly the results can be obtained. Therefore, it is desired to improve the measurement
equipment.
[0031] FIG. 1 shows a schematic of an instrument or apparatus 30 for conducting nondestructive
testing of a material under test MUT 32. The instrument 30 includes a sensor or an
electromagnetic element 34 comprised of a primary winding 36, a sensing or secondary
element 38, and an insulating substrate 40. In a preferred embodiment, the sensor
has a foam backing to provide conformability to curved or flat parts, and is formed
into a sensor tip, such as in FIG. 20, that can be replaced easily if damaged.
[0032] The primary winding 36 (also called the driven winding) is driven by an input current
or voltage source at a temporal excitation frequency, f, measured in cycles per second
where f=ω/2π and ω is the angular frequency of the input electric signal, measured
in radians per second.
[0033] The sensing or secondary element 38 comprises of a plurality of elements interposed
between legs of the primary winding 36. The plurality of elements of the sensing element
40 can be connected in series or in various groups as explained below, in reference
to Figures 3-7. The voltage induced at the terminals of the series or the respective
groups of the sensing element 40 divided by the current applied to the primary winding
36 is called the transimpedance (or transfer impedance). The sensing element can be
connected in absolute or differential modes.
[0034] The transimpedance is measured by an impedance analyzer 44. The impedance analyzer
44 inputs the current into the primary winding 36. The magnitude 46 and phase 48 of
the transimpedance are inputs to a property analyzer 56 of a property estimator 50
which uses a measurement grid 52 to estimate pre-selected properties of a single or
multiple layered MUT 32. The measurement grid 52 can be generated either with a continuum
model 54 or through experimental measurements on calibration test pieces. The model
measurement grid(s), and the property analyzer 56 are part of a property estimator
50 that converts measurements at the sensor terminals for single or multiple operating
points (e.g., multiple temporal excitation frequencies) to estimates of pre-selected
MUT properties of interest.
[0035] The use of an electromagnetic element 34, the impedance analyzer 44, and the property
estimator 50 including property analyzer 56, measurement grid(s)52 and continuum model
54 is described in U.S. Patent Application No. 07/803,504, entitled, "Magnetometer
Having Periodic Winding Structure and Material Property Estimator" filed on December
6, 1991 by Goldfine and Melcher which issued on September 26, 1995 as U.S. Patent
No. 5,453,689.
[0036] In a preferred embodiment, the impedance analyzer 44 is a Hewlett Packard HP4285,
JENTEK Sensor Instrument Board, or similar. The property estimator 50 is a computer
using a program to perform the analysis and control the impedance analyzer 44.
[0037] FIG. 2 shows a two-dimensional measurement grid, such as described as reference numeral
52 in FIG. 1, with unknown properties (1) electrical conductivity 60 and (2) lift-off
62. A grid point 64 is located at the intersection of each pair of grid lines. Three
sets of "measurement data points" taken from sensor impedance magnitude and phase
are also represented by the sets of squares and two sets of triangles. This chart
shows actual data in which each set contains five measurements that are coincident
in the figure because of high measurement repeatability.
[0038] Grid tables can be of one, two, three or more dimensions. For example, grid tables
of one dimension can include estimates of electrical conductivity varying by frequency,
or a dependent property such as porosity varying by frequency. Two-dimensional grids
can include, but are not limited to, estimates of (1) electrical conductivity and
lift-off (defined to be the distance between the sensor and the material under test);
(2) electrical conductivity and layer (or coating) thickness; (3) layer thickness
and lift-off; (4) magnetic susceptibility and electrical conductivity; or (5) the
real part of the magnetic susceptibility and the imaginary part of the magnetic susceptibility.
Two examples of three-dimensional grids are (1) electrical conductivity, lift-off,
and layer thickness and (2) electrical conductivity, magnetic susceptibility, and
lift-off. These three-dimensional grids require that multiple measurements be made
at different lift-offs or with multiple sensor geometry configurations or that a series
of two-dimensional grids such as those listed above, be calculated for different operating
frequencies, sensor geometries, or lift-offs.
[0039] However, prior to taking measurements the instrument 30, including sensor 34, must
be calibrated. The calibration is required because of the variation in sensors, instrument
(e.g., instrument drift), and cable (e.g., cable capacitance). In addition, the environmental
conditions existing at the time of measurement may affect some of the electrical properties
being measured. Environmental conditions, such as the temperature of the material
being measured or a reference part used for calibration, may be monitored and recorded
while making measurements.
[0040] Measurement grids, such as shown in FIG.2, can be calibrated using measurements in
air or on reference parts. In a reference part calibration, the objective is to vary
at least one of the "unknown" properties during calibration to ensure that the measurement
grid is correctly aligned. For example, in a conductivity/lift-off grid, the lift-off
can be varied during calibration, using shims of known or unknown thickness. This
will establish the correct orientation for the grid.
[0041] In a preferred embodiment, the instrument 30 including the sensor 34 are calibrated
by an air-calibration method. The sensor 34 is moved away from the material under
test and other objects. A current is introduced into the primary winding 36. The corresponding
magnetic field induces a magnetic field in the material under test that results in
a voltage on the sensing element 38 that is measured using the impedance analyzer
44. The phase and magnitude can then be compared to the measurement grid to determine
offset and scale factors that anchor the data onto the grid. The phase and magnitude
is compared to the measurement grid. For air calibration, only the infinite lift-off
point is needed to estimate the variations in the cable, sensors, and instrument parameters.
This eliminates errors caused by operators and poor calibration standards.
[0042] Also, offsets, scale factors, or parasitic impedance due to instrument drift or uncalibrated
behavior can be computed and used later to shift the measurement data. In addition,
the conductivity might be varied during calibration or as part of a measurement procedure
to establish the orientation of a line of constant lift-off. By varying the part temperature
the conductivity will vary with the lift-off remaining constant. For other grid types,
such as a conductivity permeability grid, the permeability might be varied during
calibration by applying a bias magnetic field. This would permit alignment of the
lines of constant conductivity (along which only the permeability will vary). During
measurement procedures it is also desirable to make multiple measurements at multiple
operating conditions including multiple lift-offs, temperatures, or bias fields, to
permit averaging of unknown property estimates, as well as to permit estimation of
more than one unknown property.
[0043] Calibration is further discussed in U.S. Patent Application No. 08/702,276 entitled,
"Meandering Winding Test Circuit" filed August 23, 1996 by Neil J. Goldfine, David
C. Clark, and Homer D. Eckhardt, which issued on August 11, 1998 as U.S. Patent Application
No. 5,793,206.
[0044] The sensors described below allow for more accurate modeling which enables calibration
of the sensor in air, as described above. In each case, a sensing element is provided
between each pair of adjacent legs of a meandering drive winding. A sensing element
is provided between each pair of adjacent legs in order to assure half wavelength
symmetry throughout the array.
[0045] FIG. 3A shows a sensor 70 having a meandering primary winding 72, also referred to
as a meandering drive winding. The primary winding 72 is a square wave having a plurality
of parallel legs or extending portion 74 which in FIG. 3A extend vertically. The primary
winding 72 has connecting portions 76 which join the extending portions 74 to create
the square wave shape.
[0046] The alternating of ends that the connection portion 76 extend between to adjacent
extending portions 74 form alternating opened channels 78 which alternate opening
on one side or the other. The sensor 70 has a plurality of sensing elements 80 located
in these channels 78 between two parallel extending portions 74. Each sensing element
in the one set 82 of channels, those that are opening to the top in FIG. 3A, has a
pair of parallel legs 84 which are adjacent and spaced from the extending portion
74 of the primary winding. The parallel legs are joined by a connecting portion 86
at the closed end of the channel 78 and have a pair of ends 88 extending from the
other end, the open end.
[0047] The first set 82 of sensing elements 80, the set that opens towards the top in FIG.
3A, are connected in series with their ends 88 connected to a pair of output leads
90 extending away from the array 92, defined by the meandering pattern of the primary
winding 72. The sensing elements 80 in the other set 94 of channels 78 those that
open towards the bottom in FIG. 3A, are similarly configured with pair ends 81 extending
from the bottom open end. The sensing elements 80 of the other set 94 are connected
in series with their ends 88 connected to a pair of output leads 98.
[0048] The meandering drive winding extends a half wavelength 100 at each end of the array,
and a pair of dummy sensing elements 102 and 104 are formed within those final meander
half wavelengths to maintain the periodicity of the field as viewed by the end sensing
elements. The dummy windings 102 and 104 are not closed and not connected to form
a loop so that the net current flowing through the windings is minimized. This simulates
the high impedance of the secondary winding terminal connections that minimizes the
current flow through the secondary windings. Connecting or shorting the dummy elements
together so that they form a closed loop would lead to significant current flowing
through the dummy elements which would also perturb the magnetic field distribution
and reduce the effectiveness of the dummy elements in maintaining the periodicity
of the field distribution. The dummy elements are introduced to expose the end secondary
elements to the same magnetic field distribution as the interior secondary elements.
The array could be similarly extended even further if required for accurate modeling.
The purpose is to extend the periodicity of the field beyond the last connected sensing
element to reduce the unmodeled "edge" effects at the end of the sensor.
[0049] The ends 88 of the sensing elements are set back from the connecting portions 76
of the meandering winding. However, it has been found that a setback of at least one
wavelength, as previously believed, is not required. A setback of one quarter to one
half wavelength has been found sufficient to assure that the magnetic flux linked
by the connecting elements is less than 10 percent of the total flux linked into the
sensing elements. The greater the setback, the smaller the amount of linkage and the
more the extended portions appear to be infinite to the sensing elements. Too much
setback will reduce the total signal size which is determined by the area of the sensing
element footprint.
[0050] At the ends of the sensing elements which connect to the respective leads 90 and
98, the etched leads are shouldered in, as at 106, to minimize the coupling of the
leads 90 and 98 extending from the sensing elements 80 with the meandering primary
or drive winding 72. The leads in the region of the primary winding 72 are exposed
to stray, fringing magnetic fields. The fields at the edges of the main footprint
of the sensor are not represented in the continuum model for the response of the sensor.
The response to these stray fields must either be minimized, such as by reducing the
gap between the secondary leads as discussed above or by compensated for the effects
through an equivalent circuit or calibration as discussed below. Bringing element
leads out close together or in twisted pairs is a standard method for eddy current
sensors. The goal is to link fields only in the desired sensing regions within the
footprint. The primary winding 72 has a pair of leads 108.
[0051] The sensor 70 shown in FIG. 3A is enlarged for clarification. The actual sensor 70
typically has a primary winding having a length of the extending portion 74 of approximately
three-quarters of an inch. In this embodiment, a width of the sensor is approximately
the same.
[0052] FIG. 3B shows a scan across a 4-pt. bending fatigue specimen using the sensor 70
described in FIG. 3A. The response to the discrete crack in the fretting region illustrates
the fact that a crack gives the same response at any location within a group of sensing
elements.
[0053] FIG. 4 shows an alternative embodiment of a sensor 110. In a preferred embodiment
of the sensor 110 is the length of the extended portion 74 of the primary winding
72 is approximately an inch and one-half. The width of the sensor is approximately
the same. The distinction between the sensor 70 in FIG. 3A and the sensor 110 in FIG.
4 is that FIG. 3 illustrates two groupings, each of five sensing elements 80; whereas,
FIG. 4 illustrates two groupings, those sensing elements on the channels 78 opening
up and those sensing elements in the channels 78 opening down as seen in the figures,
each of four sensing elements.
[0054] FIG. 5 illustrates a sensor 112 which is not part of the present invention, having
a primary winding 114 and a plurality of sensing elements 116. In contrast to the
previous embodiment, in which the sensing elements are in two groups, the sensing
elements 116 are in eleven ( 11) groupings 118, each of five sensing elements 116.
Sensing elements 116 are grouped to cover a desired area as a pixel, and pixels are
then overlapped to build an image in one dimension (e.g., Group 118b has five sensing
elements 116. The center element 122 is interposed between the end elements 116 of
group 118a and 118c, wherein the two elements on one side, the left side in FIG. 5,
are interposed between elements of group 118a and the other two elements are interposed
between elements of group 118c.) A pixel is an area defined by the sensor elements.
The grouping, comparing, and differentiation of sensor elements effects the pixel
size. FIG. 5 also includes two additional groups 124, each of three sensing elements
116. These groups 124 are at the edges of the sensor 112 and can be used to detect
the edge of a material under test when in scan mode.
[0055] FIG. 6 illustrates a sensor 136 having a primary winding 138 and eight groupings
140 of secondary elements 142, containing either two or three individual secondary
elements 142. By combining the signals from a two-element and three-element group
on either side of the primary winding, an imaging pixel is created. The sensor 136
of FIG. 6 is a non-overlapping grouping array in contrast to the sensor 112 of FIG.
5 which is an overlapping grouping array. The array of FIG. 6 then provides a four-pixel
array that can be scanned across the material under test to provide an image of the
material properties. In this array the gap between the secondary leads and the primary
windings is increased to reduce the coupling of higher order spatial modes of the
magnetic flux into the secondary windings, as discussed below. The sensor 136 has
dummy sensor elements 144 similar to FIGS. 3 and 4.
[0056] FIG. 7 is an expanded version of a sensor 146 having an eight element array 148.
Connections are made to each of the individual secondary elements 148. Dummy elements
150 are added, the secondaries are set-back from the connecting portion 152 of the
primary winding 154 and the gap between the leads to the secondary elements are minimized.
In a preferred embodiment, the dummy elements have a length of 3.0mm and a width of
0.083mm. The parallel legs or extending portion of the primary winding have a length
of 3.2mm and a width of 167mm The set-back distance is 0.5mm and the secondary elements
are 2.2mm in length The primary to secondary gap separation is 0.083mm The wavelength
λ is 2mm
[0057] In addition to improvements in the sensors as explained above, other improvements
such as in the instrumentation described in FIG. 1 improves the correlation of the
measurements received through the instrumentation to the actual properties of the
material under test.
[0058] FIG. 8 illustrates the instrumentation 170. Similar to FIG. 1, the sensor 172 is
placed in proximity to the material under test 32 and receives an input current or
voltage source. The sensing elements as described above in FIGS. 3 4, 6 or 7 are measured
to determine the voltage induced in the respective sensors. This magnitude and phase
is sent into a property analyzer 174 and upon comparison an estimate of the material
test properties are determined. In FIG. 8, the instrument 170 has a property estimator
176, in a preferred embodiment, a microprocessor, which contains in software and data
the property analyzer 174, measurement grids 178, and a continuum model 180 that generates
the measurement grids off-line and stores them in a measurement grid library for use
on-line. The property estimator 176 is connected to a remote instrument module 182
(RIM) which contains the analog portion of the impedance analyzer 184. The signal
from the RIM 182 to the property estimator 176 is a digital signal 186 to minimize
interference shielding issues and drop-in signal issues. From the RIM 182, the sensor
172 is connected through a probe 188. The probe can contain additional circuitry to
provide both multiplexing of multiple sensing elements and additional signal amplification
as described below with respect to FIGS. 9A and 9B.
[0059] Both the property estimator and the RIM can have multiplexers 190 so that each can
have multiple items which are fed from them, i.e. the property estimator 176 may have
multiple RIM 182 and each RIM 182 may have multiple sensors. The wiring and shielding
near the sensor head is fixed rigidly to limit changes after initial calibration.
[0060] FIGS. 9A and 9B illustrate equivalent circuits for the sensor response including
parasitic and stray effects of the sensor placement inside the probe and the connection
cables. FIG. 9A illustrates a sinusoidally time-varying current I
s having a complex amplitude Im is input to the primary winding of the sensor and an
output voltage of complex amplitude V
m, as illustrated in FIG. 9B, is measured across the secondary elements. This gives
the measured transimpedance between the primary and the secondary as Z
m= V
m/I
m. The complex scale factor K is introduced as a scaling parameter, determined from
calibration, which accounts for variations or drift in the response of the electronic
components. The resulting corrected transimpedance is then Z
corrected=K Z
m. The response of the sensor, represented by the transimpedance Z
12, the primary self-impedance Z
11, and the secondary self-impedance Z
22, can be derived from continuum models that account for the material geometric properties
of the sensor and surrounding media. The corrected transimpedance can differ from
the transimpedance calculated from the model because of unmodeled effects, such as
the capacitive loading of the cable connecting to the source primary winding (Cs),
stray or parasitic coupling from the primary to the secondary (Z
p), and loading of the secondary windings through an impedance (Z
L). In the simplest case, this load impedance can be represented with a cable capacitance
in parallel with an instrument load resistance. Due to the loading of the cable on
the input side, the effective current into the sensor has complex amplitude I
1.
[0061] To obtain absolute measurements of the material properties, several approaches can
be used. In the first approach, one simply measures the response of the sensor in
air. Using the relation Z
12=KZ
m then allows the scale factor K to be calculated. This factor of K is then used in
subsequent measurements to the corrected value of the transimpedance, related to the
measured transimpedance through

is taken to be equivalent to the ideal transimpedance calculated from the model Z
12. In reference to FIG. 9B, the elements Z
p=0 and the other loading effects are assumed to be negligible (C
s=0,Y
L=1/Z
L=0). Although this one point calibration is adequate for some measurements, it does
not account for the parasitic impedances inside the sensor itself.
[0062] The second approach uses a two point calibration sequence to set the calibration
values for both the scale factor K and the parasitic impedance Z
p. In this case, the first step involves measuring the transimpedance for a shunt sensor,
which as the secondary winding leads cut and shorted together, so that the measured
response gives the parasitic impedance (Z
p=Z
m). In reference to FIG. 9B, the elements Z
12=Z
22=0 and the other loading effects are negligible (C
s=0, Y
L=1/Z
L=0). The second step then requires replacing the sensor tip and measuring the response
of the sensor in air. Equating the corrected impedance with the ideal transimpedance
calculated from the model then allows the scale factor K to be calculated using the
relation

[0063] In subsequent measurements on the test materials, the measured transimpedance Z
m is converted into a corrected transimpedance using Equation (2) and the calibration
values for K and Z
p. While this approach is more accurate than the first approach, it does not properly
account for other factors that can influence the response of the measurement, such
as the properties of the connector cables.
[0064] The third approach also uses a two point calibration sequence to set the calibration
values for both the scale factor K and the parasitic impedance Zp but also accounts
for the cable and instrumentation loading effects on the response. In this case the
equivalent circuit for the response is shown in FIG. 9B. The corrected transimpedance
is then related to the measured transimpedance and the expected sensor transimpedance
Z
12 through

with ω the angular frequency of the excitation and
j the square root of -1. It is clear that Equations (1) and (2) are special cases of
Equation (3). The first step of the calibration involves measuring the transimpedance
for a shunt sensor, which has the secondary winding leads cut and shorted together.
Using known values for the cable capacitances, nominally 20 pF/ft, a fixed instrumentation
load resistance of 20 kohms, and the model response for the sensor in air for the
expected primary self-impedance Z
11, equation (3) then gives the parasitic impedance as

[0065] Similarly the second step involves replacing the sensor and measuring the response
in air. Using the known information from the shunt measurement and the model response
for the sensor in air for the expected sensor impedances Z
12 and Z
22, Equation (3) then gives the scale factor as

[0066] Equations (4) and (5) then form a set of two equations with two complex unknowns,
K and Z
p. These can be solved to give the calibration factors as


[0067] The scale factor K generally has a magnitude of approximately one, with a phase near
zero degrees, while the parasitic impedance Z
p generally has a magnitude that is small compared to Z
12. In practice it is usually sufficient to use Equation (4) to determine the parasitic
impedance, assuming that K is equal to one, and then use Equation (5) to determine
the value for the scale factor K. In either case, the calibration factors are used
with Equation (3) to determine the corrected transimpedance during measurements on
materials with unknown properties that are to be determined. A least-squares minimization
routine or a table lookup routine that relates the material properties to the sensor
impedances Z
11, Z
12, and Z
22 can then be used to solve the reverse problem of determining the material properties
from the corrected impedance. For example, a simple iterative approach would take
the measured impedance of the sensor when it is in close proximity to the material
under test and convert this to an expected sensor transimpedance Z
12 using Equation (3) and values for the self-impedance of the sensor in air. Using
a table look-up routine, the material properties can be obtained from Z
12 and the self-impedances Z
11 and Z
22 can be calculated using these new properties. An updated transimpedance and material
properties can then be obtained as well. Since the cable and loading corrections to
the transimpedance are generally small, this iterative process can converge to the
correct material properties.
[0068] This approach can also be applied to improve the sensitivity of the sensor if a reference
part calibration is allowable in the application. As an example, one can calibrate
on flat reference parts before performing measurements on curved test materials. With
the input current amplitude and output voltage levels independently adjustable in
the instrumentation electronics, the sensitivity of the sensor can be increased to
span the range of the material properties in the reference calibration. In this case
measurements are performed over two conditions, such as two lift-off heights on a
given piece of material, and then the scale factor K and the parasitic impedance are
calculated. For a multiple frequency measurement this procedure is performed at each
frequency.
[0069] Each successive approach illustrates a refinement in the measurement technique that
allows that absolute property measurements to be determined. In some situations, additional
circuit elements may be required to compensate for the undesired effects in the measurement
response. These could include, but are not limited to, adding additional elements
to represent the inductive and resistive losses of the cables and sensor lead wires
to match the response of the sensor over the frequencies of interest. For example,
the illustration of FIG. 9A indicates that the cable effects can be modeled as a single
lump capacitance. One can also include the lumped elements for the series inductance
and resistance of the cable or, particulary at the higher frequencies, a transmission
line or a distributed network of elements.
[0070] Another aspect of this system that allows for absolute property measurements is the
placement of the critical instrumentation electronics as close as possible to the
sensor head with extra fixturing and molded structures that rigidly hold the shielding
and wiring in place. This prevents movement of the shielding and wiring after calibration,
which reduces unmodeled changes in the sensor behavior. The portion of the electrical
instrumentation placed in the head of the probe involves a high-speed (video) operational-amplifier
used for making a differential measurement of the input signal. The gain of the operational
amplifier can be adjusted, nominally over a range of 30-3000, so that the amplitude
of the output voltage from the probe can be kept essentially constant as the frequency
is varied Prior to this change, the sensor was much more sensitive to cable effects,
such as the orientation and placement of the cable, because at the lower frequencies
the shielding becomes less effective as the Bringing electromagnetic fields beyond
the shielding become more significant. This led to a decrease in sensitivity to the
material under test and an increase in the magnitude of the parasitic impedance.
[0071] FIG. 10B illustrates a sensor 212 having a primary winding 214 and a plurality of
sensing elements 216. The sensing elements 218 of the sensing elements 216 on one
side, those in the channels opening to the bottom of FIG. 10, are smaller sensing
elements. These sensing elements 218 are offset, starting at the top on the left in
FIG. 10. The offset is perpendicular to the scan direction to support image building
of the abnormal "crack" imaging. The elements 218 on the opposite side of the meandering
are shown grouped. It is recognized that the elements can also be connected individually,
if desired.
[0072] The sensor 212 has dummy sensor elements 222 similar to FIGS. 3, 4, and 6. A sensing
element 224 is shown with an elongated vertical segment 226, in phantom, covering
the entire sensor height. Such an elongated segment used on each sensing element would
result in equal coupling areas for each individual sensing element permitting improved
tuning of electronics when switching (multiplexing) between elements.
[0073] Referring back to FIG. 6, the sensor 136 has another feature not discussed above.
The primary winding 138 of the sensors meander in a scroll wave pattern. The sensor
136 has sensing or secondary elements 142 interposed between the extending portions
74 of the primary winding 138. Similar to FIG. 4, the sensing elements 142 in FIG.
6 are set in groups containing either two or three individual sensing elements 142.
In contrast to the sensor 110 designs shown in FIG. 4, the secondary elements 142
are moved farther away from the primary winding 138 along the long parallel lengths
of the sensor. The optimal spacing will depend on the noise level of the instrument.
[0074] As shown in FIGS. 16 and 17, the larger the gap between the primary and the secondary
sensing elements, the higher the sensitivity for conductivity or liftoff, or other
properties of interest. However, making the gap larger will reduce the signal to noise
ratio. Thus, optimal gap size will depend on the noise level and sensitivity requirements.
[0075] Increasing the gap between the secondary and primary windings has the effect of reducing
the coupling to higher order spatial modes. It follows that the sensor then responds
predominantly to the lower order spatial modes, which have a deeper depth of penetration
into the material under test, so that the sensor is more sensitive to subsurface properties
of the material under test.
[0076] To illustrate the enhancement in sensitivity to subsurface material properties by
increasing the secondary to primary gap, consider the plots shown in FIGS. 21A, 21B,
and 21C. These plots were generated for a stratified media above the sensor consisting
of a 60µm insulating layer, a 1016µm metal layer having a base conductivity of 1.74E7
S/m, a 25.4µm insulating layer, a second metal layer consisting of 508µm of reduced
conductivity (1.653E7 S/m) and 508µm of the base conductivity, and a final insulating
layer. The region of reduced conductivity in the second metallic layer represents
damage, for example, by corrosion or cracking, that could compromise the integrity
of the structure. To show the sensitivity of the sensor response to the damage region,
the secondary to primary gap G was varied while holding the remaining sensor dimensions
constant. The range in G can be expressed by

where λ is the spatial wavelength, D is the width of the secondary winding, and C
is the width of the primary winding. These calculations assumed an 8mm wavelength
sensor having a primary width of 0.6mm and a secondary width of 0.2mm so that the
maximum value for G is 1.5mm. Assuming a current amplitude of 1A and a temporal excitation
frequency of 15.8kHz, the sensitivity of the sensor given by the relative change in
the sensor voltage between damaged and undamaged materials can be expressed as

where V
noise is the combined noise level of the instrumentation, cables, and any other uncorrelated
noise sources.
[0077] As shown in FIGS. 21A and 21B, the change in the magnitude and phase of the voltage
increases monotonically with the primary to secondary gap distance in the absence
of measurement noise so that the noise level is zero. This indicates that the sensor
is most sensitive to the subsurface change in conductivity when the secondary elements
are as close together as possible and is consistent with coupling of the lowest order
spatial modes of the magnetic field. In real measurements the noise level is nonzero
and an optimum occurs at an intermediate gap spacing. The peak is created by the competition
between increasing the sensitivity of the sensor but decreasing the magnitude of the
signal, which is roughly proportional to the area enclosed by the secondary elements,
as the gap spacing is increased. For FIGS. 21A and 21B, the simulated voltages ranged
from 0.1 to approximately 4 mV. When the noise level is small compared to the measured
signals, the optimal gap size approaches its maximum allowable value. As the noise
level increases, the optimal gap spacing decreases so that the magnitude of the sensor
voltage remains comparable to the noise level. This behavior is illustrated in FIG.
21C for both the magnitude and phase of the voltage. Since both the magnitude and
the phase are used in the measurement of the material. properties, the region between
the curves of FIG. 21C defines the region of optimum gap spacing for the sensor. It
appears that a gap spacing of approximately λ/8 (1.0mm in this case) will provide
nearly optimal sensitivity for small noise levels less than approximately 0.1mV. Clearly,
reducing the noise level by, for example, improving the instrumentation electronics
allows sensors with enhanced sensitivity and deeper depths of penetration to be designed,
fabricated and utilized.
[0078] There follows a discussion of grid measurement techniques which can be used with
the sensor of the invention but which do not form part of the invention.
[0079] FIG. 11 shows a measurement grid phase versus magnitude of a piece of ferrous metal
using a sensor as shown in FIG. 6 for varying combinations of the lift-off h and conductivity
σ. In this specific embodiment shown, the primary wavelength, λ is 8mm, the primary
width is 0.6mm, the secondary width is 0.2mm, and the primary to secondary gap is
0.8mm. Nominal valves for the lift-off his 6.35mils and for the conductivity is 460000
s/m.
[0080] FIG. 12 grid selectivity graph of conductivity versus lift-off; FIG. 13 is a lift-off
sensitivity graph of conductivity versus liftoff; FIG. 14 is a conducting sensitivity
graph with parameters conductivity versus liftoff. These three graphs show that increasing
the gap does increase sensitivity, at given depth and depth of sensitivity for a given
sensor wavelength. This is further illustrated in FIG. 15 through 18.
[0081] FIG. 19 is a flowchart of the method of determining the properties of the material.
The user prepares the instrument with sensor 260 such as the instrument described
in FIGS. 1 and 9. The sensor is placed in contact or in proximity with the material
under test 262. It is recognized and preferred to calibrate the instrument and sensor
264 prior to performing the determination of the materials property. A current is
introduced into the primary winding 266 with resulting voltage on the sensing element
measured 268. The phase and magnitude of this resulting voltage is compared to a measurement
grid 270. The description of measurement grids and continuum models is described in
U.S. Patent Application No. 07/803,504, entitled, "Magnetometer Having Periodic Winding
Structure and Material Property Estimator" filed on December 6, 1991 by Goldfine and
Melcher which issued on September 26, 1995 as U.S. Patent No. 5,453,689.
[0082] These sensors have the sensing elements grouped in various combinations as discussed
above with respect to FIGs 3, 4, 6 or 7. The property estimator through the RIM multiplexer
or a multiplexer close to the sensor can select and group the sensing elements in
various configuration where there are more than one group. Therefore all the sensing
elements can be grouped together for absolute measurements for use with the grid method
as discussed above or the resulting voltage measured on the sensing elements can be
differentially applied by comparing the differences between neighboring or distant
sensing elements to increase the sensitivity to a crack or local anomaly, while maintaining
lift-off compensation at each sensing element. The sensing elements to be compared
could be adjacent secondary elements in a single wavelength, distant secondary elements
further away over a section, a material or air that can serve as a reference, and/or
combinations of secondary elements. The varying of sensor arrays is represented as
box 274 in FIG. 19.
[0083] While this invention has been particularly shown and described with references to
preferred embodiments thereof, it will be understood by those skilled in the art that
various changes in-form and details may be made therein without departing from the
scope of the appended claims.
[0084] For example, the sensing elements in some of the sensors can be combined together
to achieve an absolute measurement for use with the Grid Method or measured differentially
to increase sensitivity. It is recognized that the absolute and the differential use
of a sensing elements in a single array can also be used for Dielectric arrays.
[0085] The MWM sensors can be fabricated in several embodiments. These can have either multiple
periods, a single period (i.e., only one period of a sine wave is produced by the
field shaping primary), or a fraction of a period (e.g. half). While the embodiments
will be described with respect to preferred embodiments for a particular size range,
such descriptions are not meant to limit particular sizes to particular embodiments.
[0086] One embodiment of the sensor 30 is fabricated by deposition and selective removal
of a conducting material on a thin film nonconducting substrate as seen in FIGS. 3-7.
This printed conducting material is considered a wire. This method of sensor construction
allows the sensor to be very thin and of very low mass. It can be configured as an
array for surface scanning by movement of an array to build images (with preferred
sensing elements as small as 1 mm by 3 mm and sensor footprints ranging from 3 mm
by 6 mm to over 1 m by 1 m). In this embodiment the primary and sensing elements are
confined to a single plane. Differencing of elements for differential mode is performed
by a separate circuit along with the multiplexing function.
[0087] In certain embodiments in which a large surface is to be scanned at one time, the
array can be several square feet or several hundred square feet. In certain embodiments
having arrays of over a square foot, arrays of secondary winding elements provide
spatial resolution of indications on the order of 2.5 cm (an inch). This effectively
maps the conductivity of the structure in fine increments to detect abnormalities
as described below.
[0088] As improved probe holders 280, such as shown in Figure 20, can also be used with
the half inch by half inch footprint MWM shown. Smaller probes are also possible.
The foam tip conforms to curved parts and can be removed easily and replaced if damaged.
[0089] The measurement grid methods for calibration and property estimation offer the unique
capability to measure absolute electrical conductivity without the use of calibration
standards. Calibration is accomplished by holding the MWM probe in air, away from
any conducting objects. The MWM sensor is capable of measuring within less than 1%
IACS (international copper standard = 5. 8E7 S/m) absolute accuracy for conductivity
ranging from 0.5% to 100% IACS. The MWM sensor is cable of measuring on magnetizable
material such as steel without requiring recalibration. For example, a painting coating
thickness can be measured on steel, without thickness standards, to within one micron.
Relative conducting differences of less than 0.01% IACS can be resolved.
[0090] The MWM sensor is driven by an AC current and its response is measured by an impedance
analyzer. In a preferred embodiment, a circuit board-level, multi-frequency impedance
instrument having a range of 10 kHz - 2.5 MHZ is used. The response is compared to
the continuum models, described below. The sensor response which is in the terms of
impedance phase and magnitude is converted into material properties or conditions
of interest, such as conductivity and proximity or conductivity and lift-off.
[0091] In addition to permitting precise determinations of material properties, the MWM
modeling software also incorporates methods to identify operating conditions that
provide maximum sensitivity and selectivity (the ability to measure two or more properties
independently), without running extensive experiments. The identification of operating
condition is described in further detail in United States Patent No. 5,015,951 titled
"Apparatus and Methods for Measuring Permeability and Conductivity in Materials Using
Multiple Wavenumber Magnetic Interrogations" which issued on May 14, 1991 and a United
States patent application serial no. 08/702,276 titled "Meandering Winding Test Circuit"
and filed on August 23, 1996.
[0092] Grid measurement algorithms permit the integration of impedance measurement data
at multiple frequencies, multiple winding spatial wavelengths, and multiple lift-offs
(by moving the MWM sensor, using a roving sensing element, or roving arrays). This
integration is used in conjunction with the array calibration discussed below. Measurement
grids provide a generalized and robust approach to a wide variety of applications,
and permit rapid adaptation to new applications with varied material constructs and
properties of interest. The result is a multi-dimensional identification algorithm
that provides robust, reproducible, and high confidence microcrack detection capability.
It provides real-time (fast) measurements, enabled by table look-up from stored measurement
grids.
[0093] Note that roving arrays might be used with a deep penetrating primary as described
in U.S. Patent Application No. 09/003,390, entitled, "Magnetometer and. Dielectrometer
Detection of Subsurface Objects" which was filed on January 6, 1998, the entire contents
of which is incorporated by reference. The array might be used for object imaging
and tracking with the object beyond the roving element array or between the roving
element array and the primary (e.g., as tracking a metal object in a human patient).
[0094] Measurement grids are tables produced by the continuum models of the MWM and in a
preferred embodiment are graphically displayed. The measurement grids are used to
convert the MWM impedance magnitude and phase measurements into material properties
or material proximity. The real-time table look-up process is described in U.S. Patent
Application Serial No. 08/702,276 which is titled "Meandering Winding Test Circuit"
which was filed on August 23, 1996.
[0095] The grid measurement approach allows for detection and discrimination of clusters
of cracks including microcracks. The measurement grids also provide a unique tool
for rapid field calibration of sensing arrays.
[0096] To generate measurement grids, the material conductivity (or other property of interest)
is first estimated using calibration standards or values from the literature. (This
estimate merely serves to define the general region of interest in which to run the
models to generate predicted sensor response.) The continuum models of the MWM then
predict sensor response, in terms of phase and magnitude, using the selected ranges
of conductivity and lift-off. This type of grid is composed of lines of constant lift-off
intersecting lines of constant conductivity. These grids are generated off-line and
then provide a real-time (fractions of a second) measurement capability in the field.
[0097] The combination of MWM design and operational features with the grid measurement
approach provides a repeatable procedure to detect properties of the material under
test.